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1. Several squares have been drawn on the<br />
1–100 grid. Try multiplying the numbers<br />
diagonally opposite each other.<br />
(a) 12 x 23 = ,<br />
13 x 22 =<br />
(b) 35 x 46 = ,<br />
36 x =<br />
(c) 52 x = ,<br />
x =<br />
(d) x = ,<br />
x =<br />
(e) x = ,<br />
x =<br />
2. What do you notice about the answers?<br />
Four Squares<br />
1 2 3 4 5 6 7 8 9 10<br />
11 12 13 14 15 16 17 18 19 20<br />
21 22 23 24 25 26 27 28 29 30<br />
31 32 33 34 35 36 37 38 39 40<br />
41 42 43 44 45 46 47 48 49 50<br />
51 52 53 54 55 56 57 58 59 60<br />
61 62 63 64 65 66 67 68 69 70<br />
71 72 73 74 75 76 77 78 79 80<br />
81 82 83 84 85 86 87 88 89 90<br />
91 92 93 94 95 96 97 98 99 100<br />
3. Investigate what happens when you draw squares that are 3 cells by 3 cells.<br />
(a) x =<br />
1 2 3 4 5 6 7 8 9 10<br />
x =<br />
11 12 13 14 15 16 17 18 19 20 (b) x =<br />
21 22 23 24 25 26 27 28 29 30<br />
x =<br />
31 32 33 34 35 36 37 38 39 40 (c) x =<br />
41 42 43 44 45 46 47 48 49 50<br />
x =<br />
51 52 53 54 55 56 57 58 59 60<br />
(d) x =<br />
61 62 63 64 65 66 67 68 69 70<br />
x =<br />
71<br />
81<br />
72<br />
82<br />
73<br />
83<br />
74<br />
84<br />
75<br />
85<br />
76<br />
86<br />
77<br />
87<br />
78<br />
88<br />
79<br />
89<br />
80<br />
90<br />
4. What do you notice about the<br />
answers?<br />
91 92 93 94 95 96 97 98 99 100<br />
5. Try investigating 4x4 squares.<br />
What do you notice?<br />
1 2 3 4 5 6 7 8 9 10<br />
11 12 13 14 15 16 17 18 19 20<br />
21 22 23 24 25 26 27 28 29 30<br />
31 32 33 34 35 36 37 38 39 40<br />
41 42 43 44 45 46 47 48 49 50<br />
51 52 53 54 55 56 57 58 59 60<br />
61 62 63 64 65 66 67 68 69 70<br />
71 72 73 74 75 76 77 78 79 80<br />
81 82 83 84 85 86 87 88 89 90<br />
91 92 93 94 95 96 97 98 99 100<br />
R.I.C. Publications www.ricgroup.com.au<br />
61<br />
<strong>Number</strong> <strong>Grids</strong><br />
ISBN 978-1-86311-826-2